Optimal. Leaf size=13 \[ \frac{\log \left (x^5+2\right )}{5 b} \]
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Rubi [A] time = 0.0030126, antiderivative size = 13, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 15, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.067, Rules used = {260} \[ \frac{\log \left (x^5+2\right )}{5 b} \]
Antiderivative was successfully verified.
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Rule 260
Rubi steps
\begin{align*} \int \frac{x^4}{2 b+b x^5} \, dx &=\frac{\log \left (2+x^5\right )}{5 b}\\ \end{align*}
Mathematica [A] time = 0.0029135, size = 17, normalized size = 1.31 \[ \frac{\log \left (b x^5+2 b\right )}{5 b} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 12, normalized size = 0.9 \begin{align*}{\frac{\ln \left ({x}^{5}+2 \right ) }{5\,b}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.987855, size = 20, normalized size = 1.54 \begin{align*} \frac{\log \left (b x^{5} + 2 \, b\right )}{5 \, b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.70908, size = 27, normalized size = 2.08 \begin{align*} \frac{\log \left (x^{5} + 2\right )}{5 \, b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.191152, size = 8, normalized size = 0.62 \begin{align*} \frac{\log{\left (x^{5} + 2 \right )}}{5 b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.19999, size = 22, normalized size = 1.69 \begin{align*} \frac{\log \left ({\left | b x^{5} + 2 \, b \right |}\right )}{5 \, b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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